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Finding the Fourth Proportional to 494,734.69, 682,735.20 and 268,380.19

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Solution

The fourth proportional to 494,734.69, 682,735.20 and 268,380.19 is: 370,365.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,734.69 : 682,735.20 = 268,380.19 : x
  2. Step 2: Convert to fraction form
    494,734.69/682,735.20 = 268,380.19/x
  3. Step 3: Cross multiply
    494,734.69x = 682,735.20 × 268,380.19
  4. Step 4: Simplify right side
    494,734.69x = 183,232,602,695.69
  5. Step 5: Solve for x
    x = 183,232,602,695.69/494,734.69
  6. Step 6: Final answer
    x = 370,365.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.